Infinitesimal modular group: \(q\)-deformed \(\mathfrak{sl}_2\) and Witt algebra

DOI10.3842/SIGMA.2024.053zbMATH Open1545.17006MaRDI QIDQ6588216

Alexander Thomas

Publication date: 15 August 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

Burau representationquantum algebraLie algebra deformations\(q\)-Virasoro

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Braid groups; Artin groups (20F36) Homological methods in Lie (super)algebras (17B55) Continued fractions (11A55)

Cites Work

• Title not available (Why is that?)
• Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle
• Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue
• \(q\)-Virasoro constraints in matrix models
• Über Zopfgruppen und gleichsinnig verdrillte Verkettungen
• A quantum deformation of the Virasoro algebra and the Macdonald symmetric functions
• Quantum affine algebras and deformations of the Virasoro and \({\mathcal W}\)-algebras
• Possible generalization of Boltzmann-Gibbs statistics.
• On the Burau representation of B4
• Deformations of Lie algebras using \(\sigma\)-derivations
• Deformed Virasoro algebras from elliptic quantum algebras
• A \(q\)-Virasoro algebra at roots of unity, free fermions, and Temperley-Lieb Hamiltonians
• On q-Deformed Real Numbers
• Classification of the real discrete specialisations of the Burau representation of B₃
• -DEFORMED RATIONALS AND -CONTINUED FRACTIONS
• q-deformed rational numbers and the 2-Calabi–Yau category of type
• Towards quantized complex numbers: \(q\)-deformed Gaussian integers and the Picard group
• Burau representation of braid groups and \(q\)-rationals

Related Items (1)

Oriented posets, rank matrices and \(q\)-deformed Markov numbers

This page was built for publication: Infinitesimal modular group: \(q\)-deformed \(\mathfrak{sl}_2\) and Witt algebra

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6588216)